Question

The equation of the ellipse, whose focus is the point ( – 1 , 1 ), whose directrix is the straight line x – y + 3 = 0 and whose eccentricity is 1/2 is :

(A)  (x + 1)² + (y - 1)² = 1/2(x - y + 3)²

(B)  (x + 1)² + (y - 1)² = 1/8(x - y + 3)²

(C)  (x + 1)² + (y - 1)² = 1/8(x - y + 1)²

(D)  (x + 1)² + (y - 1)² = 1/6(x - y + 3)²

Answer 1

Correct option  (B)  (x + 1)² + (y - 1)² = 1/8(x - y + 3)²

Required ellipse

where  e = 1/2